Ask Question
31 January, 06:09

Flowers grow rapidly. A flower is 60 inches tall. Tomorrow it will be 71 inches tall. The next day it will be 82 inches tall, and on the next day it will be 93 inches tall. Write a rule to represent the height of the flower as an arithmetic sequence. How tall will the plant be in 12 days?

+5
Answers (1)
  1. 31 January, 09:08
    0
    After 12 days, the plant will be 181 inches tall.

    Step-by-step explanation:

    Here the initial length of the plant = 60 inches

    Let us assume the first term of the sequence in AP is a = 60

    The growth next day = 71 inches = a2

    So, the growth in 1 day = Final height - Initial height

    = 71 in - 60 in = 11 inches

    ⇒ a (2) - a (1) = 11 inches

    Also, the growth next day = 82 inches = a3

    So, the growth 3rd day = 82 in - 71 in = 11 inches

    ⇒ a (3) - a (2) = 11 inches

    ⇒ a (3) - a (2) = a (2) - a (1)

    So, the common difference d in the sequence = 11

    So, the general term of an AP is given as a (n) = a + (n-1) d

    Here, a (n) = 60 + (n-1) 11

    Now, for n = 12

    a (12) = 60 + (12-1) 11 = 60 + 11 (11)

    = 60 + 121 = 181 inches

    or, a (12) = 181 inches

    Hence, after 12 days, the plant will be 181 inches tall.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Flowers grow rapidly. A flower is 60 inches tall. Tomorrow it will be 71 inches tall. The next day it will be 82 inches tall, and on the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers